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10740780288 = 283275411231
BaseRepresentation
bin10100000000011001…
…10100110100000000
31000201112200011122100
422000030310310000
5133444114432123
64533444110400
7530111061150
oct120014646400
930645604570
1010740780288
114611988227
1220b9095400
1310223075c4
1473c6b4760
1542ce38643
hex280334d00

10740780288 has 216 divisors, whose sum is σ = 35486587136. Its totient is φ = 3060633600.

The previous prime is 10740780287. The next prime is 10740780299. The reversal of 10740780288 is 88208704701.

It is a super-2 number, since 2×107407802882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10740780287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8724633 + ... + 8725863.

Almost surely, 210740780288 is an apocalyptic number.

10740780288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10740780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743293568).

10740780288 is an abundant number, since it is smaller than the sum of its proper divisors (24745806848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10740780288 is a wasteful number, since it uses less digits than its factorization.

10740780288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 10740780288 in words is "ten billion, seven hundred forty million, seven hundred eighty thousand, two hundred eighty-eight".